2b. In R show that : || x - y || || x + y || ≤ 11x11 ² + 11y11²2² -(1

Q: Let = n n i=1 x₁ . Then for constants a and b, n Σ a(x₁ - ī) b² =? (6²5m)

A: The question is about parametric inference.Given :Where,X1, X2, ...., Xn are independent random…

Q: Q3 Prove that In Coth x 1

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Q: d) P(-1< Z <1.8)

A: d) P(-1&lt; Z &lt;1.8)

Q: Show that if x > 0, then 1 + 1x − x² ≤ √1+x≤ 1 + ½ x. -

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Q: 50 50 51 7. + 40 39 40 • () - €) (") - () () - () () 7 8. 4 10 9. 2 10 8 8. 8 8. 10. + 2 3 6.

A: We can solve the given problem using concept of fractions.

Q: 7. Evaluate using the residue theorem eir dx x2 +1

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Q: For geço (Rd), het ₁ (R²). prove loc g*h = C² (R³) and a B (9xh) = (aºg) th for any multi-index B

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Q: 12. Find x and m < A. Show ALL work to find x first. THEN find m< A. (7x-26) (5x-27) A (10x- 23)

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Q: Given Q(x, y) means "x and y are real numbers such that x + 2y = 5", evaluate Vx3y Q(x, y) O True O…

A: Given that, Q(x, y) means "x and y are real numbers such that x+2y=5",

Q: Q.1A) Evaluate 2 (4-x*) 4 cosy dydx 4-y

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Q: 3xt lim x0 5x4 +3x3 + 9x3 is А. 6 B. does not exist С. 2 D. 3

A: Given, limx→03x4+9x35x4+3x3

Q: 2. Given x(t), - 2st<-1 ato - x(t) = 2 - 2t -1st<1 otherwise a. Draw x(t) b. Find and draw x(-1- 2t)…

A: Solution is given below..

Q: b) Prove that |x| ≤ 1 implies that |x² + 2x - 3| ≤ 4|x − 1].

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Q: Prove that for all positive real a we have 22 +5 20x4 2 4/5. 24 x2 +5

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Q: V. b) Let X₁. X₂X128G(2,4), by CLT find P(7 < X < 9) use (N(2)-0.977).

A: Given that X1,X2, .....X128 ~G(2,4) then using CLT we have to find P(7&lt;x̄ &lt;9)

Q: 4. Let h(r) = 5 x 6 20 x²3x18 Find all values of N for which h(N) = 3.

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Q: The numerical value of xe dr is

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: b) Suppose x # 2. Find dif dx In y = In (x - 2)² √x² +1

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Q: I. True or False. 1. N is closed under subtraction. 2. Z is closed under division. 3. Vx2 = -x if x…

A: A detailed solution is given below.     (As per our guidelines, We are supposed to answer only 3…

Q: 9. Solve In (x+5) 2 2. O A. (x | x 2 12.3891} B. (x | x 2 2.3891} O C. (x |xs 12.3891} O D. {x |x s…

A: Given:         ln(x+5)≥2

Q: (3c) Let n E Z. Prove that if n is odd, then 4|(n² – 1)

A: here is the proof

Q: 2. Evaluate: √₁² √2 - x + x da −

A: We know that the modulus function fx=x is defined as x=-x,x&lt;0xx≥0. If we take x=-2, then f-2=2…

Q: 3. Show that all integers n ≥ 2 can be expressed as 2x + 3y for some nonnegative integers r and y.

A: Mathematical induction is a proof technique used in mathematics to establish the truth of a…

Q: Prove that if |x-1| < 1, then x² - 2x + 5| < 8.

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Q: For integers x and y, prove that x+y+xy + 3 is odd if and only if x and y are both even.

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Q: If S is a nonempty subset of the negative rational numbers, then: 3x e S(Vy e S(x > y)). O true O…

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Q: 3 6. Let A= 0 x+1 1 x -8 x-1 For what values of x does A-¹ exist?

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Q: 16. Assume that a < 0 < b. Use a geometric argument to show that b - [²x dx = 5² = ² 2 a

A: Using geometric argument we have to show that ∫abx dx=b2-a22, where a&lt;0&lt;b.

Q: (-1)"+1 1- 2n Given the set A = The infimum of A is

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Q: VxVy((x <y) → (x² < y²) D: Real Nos. O True O False K

A: Solution :  To discuss the given statement

Q: If X-B(x; 10, 0.25), which of the following is P(2<Xs4), approximately? Lütfen birini seçin: a.…

A: From the provided information, Number of trials (n) = 10 Probability of success (p) = 0.25 The…

Q: Let B = -3 {CHEMED} 0 Find [x]s 3 3 and x = -8 23

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Q: 23. √ √2 + 3cotx csc² x dx

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